Several expressions for degenerate harmonic numbers and some related numbers
Number Theory
2025-08-05 v1
Abstract
Many authors have recently studied the degenerate harmonic numbers. This paper makes two main contributions. First, we derive several explicit expressions for these numbers, which are a degenerate version of the ordinary harmonic numbers. We also examine the degenerate harmonic numbers of order m and find an expression for them. Second, we investigate some related numbers that are closely connected to the degenerate harmonic numbers of order m, which reduce to the degenerate harmonic numbers when m=1
Cite
@article{arxiv.2508.01189,
title = {Several expressions for degenerate harmonic numbers and some related numbers},
author = {Taekyun Kim and Dae san Kim and Kyo-Shin Hwang},
journal= {arXiv preprint arXiv:2508.01189},
year = {2025}
}
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